Details:
Title  Piecewise algebraic curve  Author(s)   Type  Article in Journal  Abstract  A piecewise algebraic curve is defined by a bivariate spline function. Using the techniques of the Bnet form of bivariate splines function, discriminant sequence of polynomial (cf. Yang Lu et al. (Sci. China Ser. E 39(6) (1996) 628) and Yang Lu et al. (Nonlinear Algebraic Equation System and Automated Theorem Proving, Shanghai Scientific and Technological Education Publishing House, Shanghai, 1996)) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, we determine the number of real intersection points of two piecewise algebraic curves whose common points are finite. A lower bound of the number of real intersection points is given in terms of the method of rotation degree of vector field.  Keywords  Rotation degree, Application in algebraic curves, discriminant sequence, Number of real intersection points  ISSN  03770427 
URL 
http://www.sciencedirect.com/science/article/pii/S0377042701005672 
Language  English  Journal  Journal of Computational and Applied Mathematics  Volume  144  Number  1–2  Pages  277  289  Year  2002  Note  Selected papers of the Int. Symp. on Applied Mathematics, August 2000, Dalian, China  Edition  0  Translation 
No  Refereed 
No 
